defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Differential Equations Solution of Differential Equations
Let x = x(y) be the solution of the differential equation
\(y=\left(x-y \frac{d x}{d y}\right) \sin \left(\frac{x}{y}\right), y>0 \text { and } x(1)=\frac{\pi}{2}\).
Then cos(x(2)) is equal to :
1
1 – 2(loge 2)2
2
2(loge 2)2 – 1
3
2(loge 2) – 1
4
1 – 2(loge 2)